A guide for computing stable homotopy groups

DOI10.1090/conm/718/14476zbMath1426.55014arXiv1801.07530OpenAlexW2964290425MaRDI QIDQ5236793

Agnès Beaudry, Jonathan A. Campbell

Publication date: 16 October 2019

Published in: Topology and Quantum Theory in Interaction (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07530

zbMATH Keywords

Steenrod algebraspectraAdams spectral sequence

Mathematics Subject Classification ID

Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Adams spectral sequences (55T15) Stable homotopy groups (55Q10) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (15)

Enumerating partitions arising in homotopy theory ⋮ Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms ⋮ Metastable complex vector bundles over complex projective spaces ⋮ Toric 2-group anomalies via cobordism ⋮ Global anomalies and bordism invariants in one dimension ⋮ Anomalies of non-abelian finite groups via cobordism ⋮ Spin-cobordisms, surgeries and fermionic modular bootstrap ⋮ Topological modular forms and the absence of all heterotic global anomalies ⋮ Dimensional reduction of cobordism and K-theory ⋮ Commutative d-torsion K-theory and its applications ⋮ Reflection positivity and invertible topological phases ⋮ Lieb-Schultz-Mattis theorem and the filling constraint ⋮ The Arf-Brown TQFT of pin⁻ surfaces ⋮ Anomaly interplay in U(2) gauge theories ⋮ Global anomalies in \(8d\) supergravity

Cites Work

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• The localization of spectra with respect to homology
• On the structure and applications of the Steenrod algebra
• On the non-existence of elements of Hopf invariant one
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space
• Algebraic topology from a homotopical viewpoint
• Reflection positivity and invertible topological phases
• Model Categories of Diagram Spectra
• Generalized Homology Theories
• Higher Topos Theory (AM-170)
• S-modules and symmetric spectra

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